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kati45 [8]
2 years ago
8

Simplify (10j+5k)+6j. What 2 properties did you use to to simplify the expression?

Mathematics
1 answer:
Artemon [7]2 years ago
8 0

Answer:

16j+5k

Associative property

Communitive Property (I think)

Step-by-step explanation:

(10j+5k)+6j =

(10j+6j)+5k =

16j+5k

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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Amanda [17]

Answer:

f_x(x,y,z)=4\sin (y-z)

f_x(x,y,z)=4x\cos (y-z)

f_z(x,y,z)=-4x\cos (y-z)

Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

4 0
3 years ago
Answers: <br> 3x + 26<br> 5x + 15<br> x + 30<br> 10x - 7<br> please answer fast!
pentagon [3]

Answer: I think it's A. 3x + 26 but im not completely sure

Step-by-step explanation:

5 0
3 years ago
How do I do this because it's really confusing haha
netineya [11]
A = 1.5
B = -1/3
C = -4/3

A is a positive so there is only one possibility
B is in between 0 and -1, so it has to be -1/3
C is below -1 and so its the improper fraction

5 0
3 years ago
Explain why the oppisite of a positive number will always be a negitive number​
Aloiza [94]

Answer:

because a positive is over zero and a negative is below zero so from that you can tell that the opposite of any positive will be a negative.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which of the following would be a line of reflection that would map ABCD onto itself?
Sonbull [250]

Answer:

I'm not sure but I think the answer is x + y = 1

Step-by-step explanation:

I hope this helps!

6 0
2 years ago
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